Why can't levine do it? If the content is essentially already done it won't really require much effort. If Sony is paying for it (they are), I don't see why they couldn't do it. But if they don't want to do it, Sony can just get somebody like high impact games to do it.
Levine already seems to be working on his next project. And he mentioned at E3 that Bioshock Vita would be new and built from the ground up for the system. So, I don't know if the scrapped content from that would work. We saw some of it, and it was all obviously Infinite.
The best choice would probably be someone like Sony Bend. But they're probably busy with the next Uncharted for the Vita. I think that they'd want to get a really respected developer to make it just so interest doesn't drop off when their name is announced.